27328896 has 96 divisors (see below), whose sum is σ = 89902800. Its totient is φ = 7805952.

The previous prime is 27328871. The next prime is 27328913. The reversal of 27328896 is 69882372.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6370 + ... + 9758.

Almost surely, 2^27328896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44951400).

27328896 is an abundant number, since it is smaller than the sum of its proper divisors (62573904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27328896 is a wasteful number, since it uses less digits than its factorization.

27328896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3401 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 27328896 is about 5227.7046588345. The cubic root of 27328896 is about 301.2132203739.

It can be divided in two parts, 27328 and 896, that added together give a square (28224 = 168²).

The spelling of 27328896 in words is "twenty-seven million, three hundred twenty-eight thousand, eight hundred ninety-six".